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Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential

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Abstract

Multi-scale dynamics of two coupled oscillators, the linear one with varying mass and a non-smooth light system is studied. The light system, namely nonlinear energy sink (NES) is implemented for passively controlling the linear system against external impulses and/or forces. Obtained invariant manifold of the system at fast time scale let us explain the system behavior during its transient and steady-state regime while predicted dynamics of the system at slow time scale let us detect the positions of fixed and fold singularities by explanation of its behavior.

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Acknowledgements

The authors would like to thank following organizations for supporting this research work: (i) Peugeot Citroën Automobiles OpenLab, Vibro-Acoustic-Tribology@Lyon (VAT@Lyon); (ii) LABEX CELYA (ANR-10-LABX-0060) of the “Université de Lyon” within the program “Investissement d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR).

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Authors and Affiliations

  1. ENTPE, LGCB and LTDS UMR CNRS 5513, Université de Lyon, 3 rue Maurice Audin, 69518, Vaulx-en-Velin Cedex, France

    C.-H. Lamarque & A. Ture Savadkoohi

  2. PSA Peugeot Citroën Automobiles, DRIA/DSTF/MSMX, route de Gisy, 78943, Vélizy-Villacoublay Cedex, France

    Z. Dimitrijevic

Authors
  1. C.-H. Lamarque
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  2. A. Ture Savadkoohi
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  3. Z. Dimitrijevic
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Correspondence to A. Ture Savadkoohi.

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Lamarque, CH., Ture Savadkoohi, A. & Dimitrijevic, Z. Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential. Meccanica 49, 135–145 (2014). https://doi.org/10.1007/s11012-013-9778-8

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  • DOI: https://doi.org/10.1007/s11012-013-9778-8

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